An Effective Theory of Type Refinements

Yitzhak Mandelbaum, David Walker, Robert Harper

Research output: Contribution to conferencePaperpeer-review

32 Scopus citations


We develop an explicit two level system that allows programmers to reason about the behavior of effectful programs. The first level is an ordinary ML-style type system, which confers standard properties on program behavior. The second level is a conservative extension of the first that uses a logic of type refinements to check more precise properties of program behavior. Our logic is a fragment of intuitionistic linear logic, which gives programmers the ability to reason locally about changes of program state. We provide a generic resource semantics for our logic as well as a sound, decidable, syntactic refinement-checking system. We also prove that refinements give rise to an optimization principle for programs. Finally, we illustrate the power of our system through a number of examples.

Original languageEnglish (US)
Number of pages13
StatePublished - 2003
EventEighth ACM SIGPLAN International Conference on Functional Programming - Uppsala, Sweden
Duration: Aug 25 2003Aug 29 2003


OtherEighth ACM SIGPLAN International Conference on Functional Programming

All Science Journal Classification (ASJC) codes

  • Software


  • Effectful Computation
  • Linear Logic
  • Local Reasoning
  • Type Refinement
  • Type Theory


Dive into the research topics of 'An Effective Theory of Type Refinements'. Together they form a unique fingerprint.

Cite this